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Finding the Third Proportional to 13,213.13 and 28,879.03

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Solution

The third proportional to 13,213.13 and 28,879.03 is: 63,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.13 : 28,879.03 = 28,879.03 : x
  2. Step 2: Convert to fraction form
    13,213.13/28,879.03 = 28,879.03/x
  3. Step 3: Cross multiply
    13,213.13x = 28,879.03 × 28,879.03
  4. Step 4: Simplify right side
    13,213.13x = 833,998,445.94
  5. Step 5: Solve for x
    x = 833,998,445.94/13,213.13
  6. Step 6: Final answer
    x = 63,118.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.